Details

analyze657.0ms (16.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1429	40
1	1429	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	569	10
1	569	10

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`cancel-sign-sub-inv_binary64_1067` `associate-r_binary64_1041`
5×	`add-cube-cbrt_binary64_1136`
4×	`frac-times_binary64_1111` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-l_binary64_1042`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `flip3-+_binary64_1104` `flip--_binary64_1076` `flip-+_binary64_1075`
2×	`sub-neg_binary64_1094` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `difference-of-squares_binary64_1070`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053` `*-commutative_binary64_1032`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 620 to 309 computations (50.2% saved)

series182.0ms (4.6%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

171.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 391 to 229 computations (41.4% saved)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4978	732
1	4978	732

prune41.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 650 to 290 computations (55.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 z) (+.f64 y x))
0.0b	(sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))
0.0b	(sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))
0.3b	(.f64 (sqrt.f64 (.f64 (-.f64 1 z) (+.f64 y x))) (sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))

rewrite464.0ms (11.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

160×	`sqrt-div_binary64_1118`
148×	`frac-times_binary64_1111`
63×	`flip3-+_binary64_1104` `flip3--_binary64_1105` `flip-+_binary64_1075` `flip--_binary64_1076`
61×	`pow1_binary64_1162`
50×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
32×	`sqrt-pow1_binary64_1119`
23×	`pow-prod-down_binary64_1172`
17×	`add-sqr-sqrt_binary64_1123`
15×	`*-un-lft-identity_binary64_1101`
12×	`pow1/2_binary64_1181`
10×	`pow-prod-up_binary64_1171` `add-cube-cbrt_binary64_1136` `associate-l_binary64_1042`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
6×	`pow-sqr_binary64_1074` `sqrt-prod_binary64_1117`
4×	`add-log-exp_binary64_1140` `swap-sqr_binary64_1068`
2×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `difference-of-squares_binary64_1070`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `sqrt-unprod_binary64_1121` `rem-square-sqrt_binary64_1113` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`

Counts

4 → 199

Calls

4 calls:

24.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1 z) (+.f64 y x))) (sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))
17.0ms	(*.f64 (-.f64 1 z) (+.f64 y x))
8.0ms	(sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))
8.0ms	(sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))

Compiler

Compiled 7084 to 3818 computations (46.1% saved)

series651.0ms (16.5%)

Error

Counts

4 → 66

Calls

4 calls:

169.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1 z) (+.f64 y x))) (sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x))))
149.0ms	(*.f64 (-.f64 1 z) (+.f64 y x))
141.0ms	(sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))
136.0ms	(sqrt.f64 (*.f64 (-.f64 1 z) (+.f64 y x)))

Compiler

Compiled 3492 to 2278 computations (34.8% saved)

simplify141.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4991	7368
1	4991	7368

prune365.0ms (9.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	265	3	268

Error

Counts

268 → 3

Compiler

Compiled 6826 to 3347 computations (51% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 z x))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_1140`
2×	`*-un-lft-identity_binary64_1101`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067` `distribute-rgt-out--_binary64_1055`

Counts

1 → 13

Calls

1 calls:

6.0ms

(-.f64 x (*.f64 z x))

Compiler

Compiled 148 to 47 computations (68.2% saved)

series73.0ms (1.9%)

Error

Counts

1 → 9

Calls

1 calls:

65.0ms

(-.f64 x (*.f64 z x))

Compiler

Compiled 118 to 105 computations (11% saved)

simplify109.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5620	204

prune13.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Error

Counts

25 → 3

Compiler

Compiled 168 to 91 computations (45.8% saved)

regimes233.0ms (5.9%)

Accuracy

Total 0.0b remaining (83.7%)

Threshold costs 0.0b (83.7%)

Compiler

Compiled 1137 to 1017 computations (10.6% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	16
1	65	16

Remove

(sort x y)

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

sample772.0ms (19.5%)

Algorithm

1×

intervals

Results

226.0ms	7999×	body	128	valid
22.0ms	645×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 165 to 147 computations (10.9% saved)

Details

analyze657.0ms (16.6%)

sample26.0ms (0.6%)

simplify34.0ms (0.8%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite55.0ms (1.4%)

series182.0ms (4.6%)

simplify75.0ms (1.9%)

prune41.0ms (1%)

localize13.0ms (0.3%)

rewrite464.0ms (11.7%)

series651.0ms (16.5%)

simplify141.0ms (3.6%)

prune365.0ms (9.2%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series73.0ms (1.9%)

simplify109.0ms (2.8%)

prune13.0ms (0.3%)

regimes233.0ms (5.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample772.0ms (19.5%)

Profiling